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math.CO2009
Permutation Statistics and -Fibonacci Numbers
Adam M. Goyt, David Mathisen
In a recent paper, Goyt and Sagan studied distributions of certain set partition statistics over pattern restricted sets of set partitions that were counted by the Fibonacci number…
math.CO2007★ 2 cited
Set partition statistics and q-Fibonacci numbers
Adam Goyt, Bruce Sagan
We consider the set partition statistics ls and rb introduced by Wachs and White and investigate their distribution over set partitions avoiding certain patterns. In particular, we…
math.CO2006★ 2 cited
Avoidance of Partitions of a Three-element Set
Adam M. Goyt
Klazar defined and studied a notion of pattern avoidance for set partitions, which is an analogue of pattern avoidance for permutations. Sagan considered partitions which avoid a s…